Simplify (5x^4y^2+20xy^6-10x)÷5xy^2

$(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$

Rewrite the division as a fraction.

$\frac{5 x^{4} y^{2} + 20 x y^{6} - 10 x}{5 x y^{2}}$

Factor $5 x$ out of $5 x^{4} y^{2} + 20 x y^{6} - 10 x$ .

Factor $5 x$ out of $5 x^{4} y^{2}$ .

$\frac{5 x (x^{3} y^{2}) + 20 x y^{6} - 10 x}{5 x y^{2}}$

Factor $5 x$ out of $20 x y^{6}$ .

$\frac{5 x (x^{3} y^{2}) + 5 x (4 y^{6}) - 10 x}{5 x y^{2}}$

Factor $5 x$ out of $- 10 x$ .

$\frac{5 x (x^{3} y^{2}) + 5 x (4 y^{6}) + 5 x (- 2)}{5 x y^{2}}$

Factor $5 x$ out of $5 x (x^{3} y^{2}) + 5 x (4 y^{6})$ .

$\frac{5 x (x^{3} y^{2} + 4 y^{6}) + 5 x (- 2)}{5 x y^{2}}$

Factor $5 x$ out of $5 x (x^{3} y^{2} + 4 y^{6}) + 5 x (- 2)$ .

$\frac{5 x (x^{3} y^{2} + 4 y^{6} - 2)}{5 x y^{2}}$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x (x^{3} y^{2} + 4 y^{6} - 2)}{5 x y^{2}}$

Rewrite the expression.

$\frac{x (x^{3} y^{2} + 4 y^{6} - 2)}{x y^{2}}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x (x^{3} y^{2} + 4 y^{6} - 2)}{x y^{2}}$

Rewrite the expression.

$\frac{x^{3} y^{2} + 4 y^{6} - 2}{y^{2}}$